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Finding the Fourth Proportional to 19,862, 29,778.82 and 9,326.13

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Solution

The fourth proportional to 19,862, 29,778.82 and 9,326.13 is: 13,982.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,862 : 29,778.82 = 9,326.13 : x
  2. Step 2: Convert to fraction form
    19,862/29,778.82 = 9,326.13/x
  3. Step 3: Cross multiply
    19,862x = 29,778.82 × 9,326.13
  4. Step 4: Simplify right side
    19,862x = 277,721,146.57
  5. Step 5: Solve for x
    x = 277,721,146.57/19,862
  6. Step 6: Final answer
    x = 13,982.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.